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Steenrod squares of polynomials and the Peterson conjecture

Published online by Cambridge University Press:  24 October 2008

R. M. W. Wood
R. M. W. Wood
Affiliation:
Department of Mathematics, University of Manchester
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Extract

We are concerned in this paper with polynomials in n variables xi over the field 2 of two elements. The Steenrod squares Sqk are linear operators which act on the variables by the rules

and on the product uv of homogeneous polynomials u and v by the Cartan formula

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 105 , Issue 2 , March 1989 , pp. 307 - 309
Copyright
Copyright © Cambridge Philosophical Society 1989

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References

REFERENCES

[1]Peterson, F. P.. Generators of H*(RP ∞ ∧ RP ∞) as a module over the Steenrod algebra. Abstracts Amer. Math. Soc. 833–55–89, 04, 1987.Google Scholar
[2]Peterson, F. P.. A-generators for certain polynomial algebras. Math. Proc. Cambridge Philos. Soc. 105 (1989), 311–312.CrossRefGoogle Scholar
[3]Steenrod, N. E. and Epstein, D. B. A.. Cohomology Operations. Annals of Math. Studies no. 50 (Princeton University Press, 1962).Google Scholar